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Finding the Fourth Proportional to 97,394.56, 146,029.92 and 41,205.28

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Solution

The fourth proportional to 97,394.56, 146,029.92 and 41,205.28 is: 61,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,394.56 : 146,029.92 = 41,205.28 : x
  2. Step 2: Convert to fraction form
    97,394.56/146,029.92 = 41,205.28/x
  3. Step 3: Cross multiply
    97,394.56x = 146,029.92 × 41,205.28
  4. Step 4: Simplify right side
    97,394.56x = 6,017,203,741.98
  5. Step 5: Solve for x
    x = 6,017,203,741.98/97,394.56
  6. Step 6: Final answer
    x = 61,781.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.